| 具有缓变系数的线性时滞系统的稳定性 |
| |
| 引用本文： | 戎海武 张德昌. 具有缓变系数的线性时滞系统的稳定性[J]. 应用数学学报, 1997, 20(1): 93-100 |
| |
| 作者姓名： | 戎海武 张德昌 |
| |
| 作者单位： | 西北工业大学应用数学系!西安，710072，西北工业大学应用数学系!西安，710072 |
| |
| 摘 要： | 关于滞后型泛函微分方程的稳定性，本文给出了更一般的判别准则，推广了Ｐａзｙмихин的结果。并将所得结论用于考察具有缓变系数的线性时滞系统的稳定性，放宽了通常的对系统系数矩阵特征值的限制，给出了直接由系统右端系数计算的简明的稳定性判据。
|
| 关 键 词： | 稳定性 线性 时滞系统 泛函微分方程 缓变系数 |
NEW SUFFICIENT CONDITION FOR THE STABILITY OF SLOWLY VARYING LINEAR SYSTEMS WITH TIME-DELAY |
| |
| RONG HAIWU, ZHANG DECHANG. NEW SUFFICIENT CONDITION FOR THE STABILITY OF SLOWLY VARYING LINEAR SYSTEMS WITH TIME-DELAY[J]. Acta Mathematicae Applicatae Sinica, 1997, 20(1): 93-100 |
| |
| Authors: | RONG HAIWU ZHANG DECHANG |
| |
| Abstract: | In this paper, we use the "frozen time" approach to state some new sufficientconditions for the stability of linear time-varying systems with time-delay We establish anupper bound on the norm of time derivative of system matrix and the time-delay which,under different assumptions of "frozen-time" system eigenvalue, guarantees asymptoticstability of the system. |
| |
| Keywords: | Time-delay slowly varying linear system moving stability Lyapunov function asymptotic stability |
| 本文献已被 CNKI 维普 等数据库收录！ |
